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Student Support Forum: 'ParametricPlot3D of Functions' topicStudent Support Forum > General > "ParametricPlot3D of Functions"

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hsn
10/01/98 2:41pm

>
> I am having difficulty plotting parametric functions substituting only one variable:
>
> Parametric function 1 is defined as follows:
>
> \!\(\(f\_1[t_, s_] = {t\ Cos[s], t, t\ Sin[s]}; \)\)
>
> I would like to parametrically plot function 1 for t=0..Pi at s=0,Pi/4,Pi/2,Pi.
> This is the command I've been using:
>
> \!\(ParametricPlot3D[{f\_1[t, 0], f\_1[t, Pi/4], f\_1[t, Pi/2],
> f\_1[t, Pi]}, {t, 0, 2 Pi}, AspectRatio -> 1]\)
>
> But the error messages say:
>
> \!\(ParametricPlot3D::''pplr'' \( : \ \)
> ''\!\({\(f\_1[\(t, 0\)]\), \(f\_1[\(t, \\[Pi]\/4\)]\), \(f\_1[\(t, \
> \\[Pi]\/2\)]\), \(f\_1[\(t, \\[Pi]\)]\)}\) is not a list starting with three \
> real numbers at \!\(t\) = \!\(0.`\).''\)
> \!\(ParametricPlot3D::''pplr'' \( : \ \)
> ''\!\({\(f\_1[\(t, 0\)]\), \(f\_1[\(t, \\[Pi]\/4\)]\), \(f\_1[\(t, \
> \\[Pi]\/2\)]\), \(f\_1[\(t, \\[Pi]\)]\)}\) is not a list starting with three \
> real numbers at \!\(t\) = \!\(0.0849079095564808916`\).''\)
> \!\(ParametricPlot3D::''pplr'' \( : \ \)
> ''\!\({\(f\_1[\(t, 0\)]\), \(f\_1[\(t, \\[Pi]\/4\)]\), \(f\_1[\(t, \
> \\[Pi]\/2\)]\), \(f\_1[\(t, \\[Pi]\)]\)}\) is not a list starting with three \
> real numbers at \!\(t\) = \!\(0.169815819112961774`\).''\)
> General::''stop'':
> ''Further output of \!\(ParametricPlot3D :: \''pplr\''\) will be suppressed \
> during this calculation.''
> ParametricPlot3D::''ppx'':
> ''Graphics3D object calculated in ParametricPlot3D is empty.''
> Out[14]=
> \!\(ParametricPlot3D[{f\_1[t, 0], f\_1[t, \[Pi]\/4], f\_1[t, \[Pi]\/2],
> f\_1[t, \[Pi]]}, {t, 0, 2\ \[Pi]}, AspectRatio \[Rule] 1]\)
>
> What am I doing wrong here? Thanks.
>

ParametricPlot3D are for plotting 3D-curves, what you are trying to do is plot a family of 2D-curves, so just use Plot instead of ParametricPlot3D.
BTW dont use subscripted function names, without using the Notation package, it might get you into trouble later on (from one experience).

hsn

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Subject (listing for 'ParametricPlot3D of Functions')
Author Date Posted
ParametricPlot3D of Functions Po-Heng Chen 09/29/98 07:26am
Re: ParametricPlot3D of Functions JC 10/01/98 2:40pm
Re: ParametricPlot3D of Functions hsn 10/01/98 2:41pm
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